Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616d |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
388840968736768 = 212 · 377 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268324,-53489568] |
[a1,a2,a3,a4,a6] |
Generators |
[6742927101:139762870597:8120601] |
Generators of the group modulo torsion |
j |
203297472/37 |
j-invariant |
L |
5.5053254234931 |
L(r)(E,1)/r! |
Ω |
0.20976808709532 |
Real period |
R |
13.1224093655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87616c2 43808k1 2368e2 |
Quadratic twists by: -4 8 37 |